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The study of the free idempotent generated semigroup IG(E) over a biordered set E has recently received a deal of attention. Let G be a group, let n ∈ N with n ≥ 3 and let E be the biordered set of idempotents of the wreath product G ≀ T n. We show, in a transparent way, that for e ∈ E lying in the minimal ideal of G ≀ T n , the maximal subgroup of e in(More)
In this paper we investigate the existence of positive solutions of the following nonlinear semipositone fourth-order two-point boundary-value problem with second derivative: u (4) (t) = f (t, u(t), u (t)), 0 ≤ t ≤ 1, u (1) = u (1) = u (1) = 0, ku(0) = u (0), where −6 < k < 0, f ≥ −M , and M is a positive constant. Our approach relies on the Krasnosel'skii(More)
This paper solves the problem of the excessive memory footprint and the slow speed of parsing when using the DOM method to parse the XML data. As we know the current XML parsing technology is the key of XML research field and now there are a lot of XML parsers, their works plays a significant role in promoting XML parsing, but failed to achieve a good(More)
Many significant research areas of contemporary analysis lie in noncommutative general-isations of mathematical frameworks and with multi-variable and higher rank perspectives. One example of this, closely related to the project occurs in the theory of operator algebras of Cuntz-Krieger-Toeplitz type [45]. This theory is now being extended to the deeper(More)
Recommended by Kanishka Perera We are concerned with the nonlinear second-order impulsive periodic boundary value problem u (t) = f (t,u(t),u (t)), t ∈ [0,T] \ {t 1 }, u(t + 1) = u(t − 1) + I(u(t 1)), u (t + 1) = u (t − 1) + J(u(t 1)), u(0) = u(T), u (0) = u (T), new criteria are established based on Schae-fer's fixed-point theorem.
The study of the free idempotent generated semigroup IG(E) over a biordered set E began with the seminal work of Nambooripad in the 1970s and has seen a recent revival with a number of new approaches, both geometric and combinatorial. Here we continue the study of the free idempotent generated semigroup IG(E) over the biordered set E of a wreath product G ≀(More)